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Finding the Fourth Proportional to 10,664.64, 15,996.93 and 3,739.14

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Solution

The fourth proportional to 10,664.64, 15,996.93 and 3,739.14 is: 5,608.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,664.64 : 15,996.93 = 3,739.14 : x
  2. Step 2: Convert to fraction form
    10,664.64/15,996.93 = 3,739.14/x
  3. Step 3: Cross multiply
    10,664.64x = 15,996.93 × 3,739.14
  4. Step 4: Simplify right side
    10,664.64x = 59,814,760.84
  5. Step 5: Solve for x
    x = 59,814,760.84/10,664.64
  6. Step 6: Final answer
    x = 5,608.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.